4 papers
On eigenvalues of a renormalized sample correlation matrix
Qianqian Jiang, Junpeng Zhu, Zeng Li
This paper studies the asymptotic spectral properties of a renormalized sample correlation matrix, including the limiting spectral distribution, the properties of largest eigenvalu…
The Smoluchowski-Kramers approximation for a system with arbitrary friction depending on both state and distribution
Xueru Liu, Qianqian Jiang, Wei Wang
A system of stochastic differential equations describing diffusive phenomena, which has arbitrary friction depending on both state and distribution is investigated. The Smoluchowsk…
On testing mean of high dimensional compositional data
Qianqian Jiang, Wenbo Li, Zeng Li
We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbi…
On eigenvalues of sample covariance matrices based on high dimensional compositional data
Qianqian Jiang, Jiaxin Qiu, Zeng Li
This paper studies the asymptotic spectral properties of the sample covariance matrix for high dimensional compositional data, including the limiting spectral distribution, the lim…